Page 73 - Coulson Richardson's Chemical Engineering Vol.6 Chemical Engineering Design 4th Edition
P. 73

56
                                                        CHEMICAL ENGINEERING
                                           500,000
                                                      1000   C
                                    0.5 D
                                            45,000  ln     1000   100
                                              1000   C

                                  0.045 D  ln
                                                 900
                           e  0.045  ð 900 D 1000   C
                                     C D 140 ppm
                           So the maximum allowable concentration will not be exceeded.
                                2.18. GENERAL PROCEDURE FOR MATERIAL-BALANCE
                                                          PROBLEMS

                           The best way to tackle a problem will depend on the information given; the information
                           required from the balance; and the constraints that arise from the nature of the problem.
                           No all embracing, best method of solution can be given to cover all possible problems.
                           The following step-by-step procedure is given as an aid to the efficient solution of material
                           balance problems. The same general approach can be usefully employed to organise the
                           solution of energy balance, and other design problems.

                           Procedure

                           Step 1. Draw a block diagram of the process.
                                  Show each significant step as a block, linked by lines and arrows to show the
                                  stream connections and flow direction.
                           Step 2. List all the available data.
                                  Show on the block diagram the known flows (or quantities) and stream compo-
                                  sitions.
                           Step 3. List all the information required from the balance.
                           Step 4. Decide the system boundaries (see Section 2.6).
                           Step 5. Write out all the chemical reactions involved for the main products and by-
                                  products.
                           Step 6. Note any other constraints,
                                  such as: specified stream compositions,
                                          azeotropes,
                                          phase equilibria,
                                          tie substances (see Section 2.11).
                             The use of phase equilibrium relationships and other constraints in determining stream
                           compositions and flows is discussed in more detail in Chapter 4.
                           Step 7. Note any stream compositions and flows that can be approximated.
                           Step 8. Check the number of conservation (and other) equations that can be written, and
                                  compare with the number of unknowns. Decide which variables are to be design
                                  variables; see Section 2.10.
                                  This step would be used only for complex problems.
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